• Journal of the Korean Institute of Intelligent Systems
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• v.18 no.6
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• pp.808-813
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• 2008

u-City is a city for users who are in everywhere as well as everytime. Korea e-government portal as a main e-government portal is a gateway for entering Korea e-government, but it has some problems. This portal has to provide a simple interface according to user's needs, but the current system is too complicated so that this system does not provide information retrieval function according to user's needs. So in this paper, we propose an effective strategy and functions of Korea e-government main portal for effective u-City.

• Communications of the Korean Mathematical Society
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• v.17 no.3
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• pp.535-540
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• 2002

Let X$_1$, X$_2$‥‥,X$\_$n/ be n independent and identically distributed random variables with continuous cumulative distribution function F(x). Let us rearrange the X's in the increasing order X$\_$1:n/ $\leq$ X$\_$2:n/ $\leq$ ‥‥ $\leq$ X$\_$n:n/. We call X$\_$k:n/ the k-th order statistic. Then X$\_$n:n/ - X$\_$n-1:n/ and X$\_$n-1:n/ are independent if and only if f(x) = 1-e(equation omitted) with some c > 0. And X$\_$j/ is an upper record value of this sequence lf X$\_$j/ > max(X$_1$, X$_2$,¨¨ ,X$\_$j-1/). We define u(n) = min(j|j > u(n-1),X$\_$j/ > X$\_$u(n-1)/, n $\geq$ 2) with u(1) = 1. Then F(x) = 1 - e(equation omitted), x > 0 if and only if E[X$\_$u(n+3)/ - X$\_$u(n)/ | X$\_$u(m)/ = y] = 3c, or E[X$\_$u(n+4)/ - X$\_$u(n)/|X$\_$u(m)/ = y] = 4c, n m+1.

• Journal of the Korean Mathematical Society
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• v.49 no.3
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• pp.659-670
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• 2012

For any $K$ > $2/{\pi}$ we determine the optimal constant $L(K)$ for which the following holds. If $u$, $tilde{u}$ are conjugate harmonic functions on the unit disc with $\tilde{u}(0)=0$, then $$ {\int}_{-\pi}^{\pi}{\mid}\tilde{u}(e^{i\phi}){\mid}\frac{d{\phi}}{2{\pi}}{\leq}K{\int}_{-\pi}^{\pi}{\mid}u(e^{i{\phi}}){\mid}{\log}^+{\mid}u(e^{i{\phi}}){\mid}\frac{d{\phi}}{2{\pi}}+L(K).$$ We also establish a related estimate for orthogonal harmonic functions given on Euclidean domains as well as an extension concerning orthogonal martingales under differential subordination.

• Journal of the Korean Mathematical Society
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• v.59 no.5
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• pp.911-926
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• 2022

Let u be a function on a locally finite graph G = (V, E) and Ω be a bounded subset of V. Let 𝜀 > 0, p > 2 and 0 ≤ λ < λ₁(Ω) be constants, where λ₁(Ω) is the first eigenvalue of the discrete Laplacian, and h : V → ℝ be a function satisfying h ≥ 0 and $h{\not\equiv}0$. We consider a perturbed Yamabe equation, say $$\{\begin{array}{lll}-{\Delta}u-{\lambda}u={\mid}u{\mid}^{p-2}u+{\varepsilon}h,&&\text{ in }{\Omega},\\u=0,&&\text{ on }{\partial}{\Omega},\end{array}$$ where Ω and ∂Ω denote the interior and the boundary of Ω, respectively. Using variational methods, we prove that there exists some positive constant 𝜀₀ > 0 such that for all 𝜀 ∈ (0, 𝜀₀), the above equation has two distinct solutions. Moreover, we consider a more general nonlinear equation $$\{\begin{array}{lll}-{\Delta}u=f(u)+{\varepsilon}h,&&\text{ in }{\Omega},\\u=0,&&\text{ on }{\partial}{\Omega},\end{array}$$ and prove similar result for certain nonlinear term f(u).

• The Journal of Korean Physical Therapy
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• v.16 no.3
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• pp.152-160
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• 2004

The purpose of this study was to investigate the effect of elastic band based of PNF pattern on the U/E function in the spinal cord injury patient. 11 subjects with spinal cord injury participated in this study. They took elastic band excercise 5 times per week for 8 weeks. One time excercise spent 35minutes. The therapeutic effect was evaluated by Cybex 6000, BTE Work Simulator, how many seconds they needed to walk 100 meters. 11 cases were examined before, after 8 week, elastic band excercise. The results of this study are as follows; 1. Isokinetic power by Cybex 6000 : The elbow flexion, shoulder flexion and extension were significant difference between test-retest(p<.05). but elbow extension were not significant difference between test-retest. 2. BTE Work Simulator : Wheelchair Propulsion and Steering Torque were significant difference between test-retest(p<.05). 3. Wheelchair Propulsion velocity : There were significant difference between test-retest(p<.05). The findings suggest that SCI patients can improve their Isokinetic power on shoulder and elbow joint, wheelchair propulsion and Steering Torque by BTE Work Simulator, Wheelchair Propulsion velocity through elastic band based of PNF pattern.

• Journal of applied mathematics & informatics
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• v.18 no.1_2
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• pp.497-503
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• 2005

This paper presents characterizations on the independence of the exponential and Pareto distributions by record values. Let ${X_{n},\;n {\ge1}$ be a sequence of independent and identically distributed(i.i.d) random variables with a continuous cumulative distribution function(cdf) F(x) and probability density function(pdf) f(x). $Let{\;}Y_{n} = max{X_1, X_2, \ldots, X_n}$ for n \ge 1. We say $X_{j}$ is an upper record value of ${X_{n},{\;}n\ge 1}, if Y_{j} > Y_{j-1}, j > 1$. The indices at which the upper record values occur are given by the record times {u(n)}, n \ge 1, where u(n) = $min{j|j > u(n-1), X_{j} > X_{u(n-1)}, n \ge 2}$ and u(l) = 1. Then F(x) = $1 - e^{-\frac{x}{a}}$, x > 0, ${\sigma} > 0$ if and only if $\frac {X_u(_n)}{X_u(_{n+1})} and X_u(_{n+1}), n \ge 1$, are independent. Also F(x) = $1 - x^{-\theta}, x > 1, {\theta} > 0$ if and only if $\frac {X_u(_{n+1})}{X_u(_n)}{\;}and{\;} X_{u(n)},{\;} n {\ge} 1$, are independent.

• Bulletin of the Korean Mathematical Society
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• v.53 no.6
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• pp.1805-1821
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• 2016

In this paper, we are concerned with the nonlinear elliptic equations of the p(x)-Laplace type $$\{\begin{array}{lll}-div(a(x,{\nabla}u))+{\mid}u{\mid}^{p(x)-2}u={\lambda}f(x,u) && in\;{\Omega}\\(a(x,{\nabla}u)\frac{{\partial}u}{{\partial}n}={\lambda}{\theta}g(x,u) && on\;{\partial}{\Omega},\end{array}$$ which is subject to nonlinear Neumann boundary condition. Here the function a(x, v) is of type${\mid}v{\mid}^{p(x)-2}v$ with continuous function $p:{\bar{\Omega}}{\rightarrow}(1,{\infty})$ and the functions f, g satisfy a $Carath{\acute{e}}odory$ condition. The main purpose of this paper is to establish the existence of at least three solutions for the above problem by applying three critical points theory due to Ricceri. Furthermore, we localize three critical points interval for the given problem as applications of the theorem introduced by Arcoya and Carmona.

• Communications of the Korean Mathematical Society
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• v.30 no.2
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• pp.81-92
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• 2015

In this paper, we aim at establishing a generalized fractional integral version of Gr$\ddot{u}$ss type integral inequality by making use of the Gauss hypergeometric function fractional integral operator. Our main result, being of a very general character, is illustrated to specialize to yield numerous interesting fractional integral inequalities including some known results.

• YAKHAK HOEJI
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• v.40 no.4
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• pp.468-477
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• 1996

Vasopressin which is an antidiuretic hormone in human body produced the diuretic action in dog. This study was investigated in order to certify the diuretic action and to search out the mechanism of the action on the vasopressin. Vasopressin, when given in a dose of 10.0mU/kg, bolus+1.0mU/kg/min intravenously, exhibited the increase of urine flow(Vol), renal plasma flow(RPF), osmolar clearance (Cosm) and amounts of sodium and potassium excreted in urine ($E_{Na},\;E_K$), the decrease of reabsorption rate of sodium and potassium in renal tubules ($R_{Na},\;R_K$), and then elevated the mean arterial pressure(MAP). Vasopressin given in a increased dose to 30.0mU/kg, bolus+1.0mU/kg/min intravenously elicited the same aspect with that exhibited by a small dose in changes of Vol. and all renal function and potentiated the change rates, whereas this time MAP did not change at all when compared with control value. Vasopressin, when administered into a renal artery, did not induce the changes of Vol and all renal function in experimental (administered) kidney, but increased slightly the Vol, glomerular filtration rate(GFR), $E_{Na},\;and\;E_K$ expected the no change of $R_{Na}\;and\;R_K$ in the control (not administered) kidney. Vasopressin, when infused into carotid artery, showed the increase of Vol. GFR, $E_{Na},\;and\;E_K$ and no change of $R_{Na}\;and\;R_K$ in a dose of 1/5 of intravenous dose. Diuretic action of vasopressin administered into carotid artery was not influenced by renal denervation. Above results suggest that vasopressin produced diuretic action by hemodynamic changes in dogs. These hemodynamic changes may be mediated by central endogenous substances not associated with renal nerve.

• The Pure and Applied Mathematics
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• v.15 no.1
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• pp.57-72
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• 2008

This paper is concerned with the numerical solutions to steady state nonlinear elliptical partial differential equations (PDE) of the form $u_{xx}+u_{yy}+Du_{x}+Eu_{y}+Fu=G$, where D, E, F are functions of x, y, u, $u_{x}$, and $u_{y}$, and G is a function of x and y. Dirichlet boundary conditions in a rectangular region are considered. We propose alternating direction shooting method for solving such nonlinear PDE. Numerical results show that the alternating direction shooting method performed better than the commonly used linearized iterative method.